Package org.flag4j.linalg.solvers

Interface LinearSolver<T extends MatrixMixin<T,?,?,?,?,?,U,?>,U extends VectorMixin<U,?,?,?,?,T,?,?>>

Type Parameters:

T - Type of the matrices in the linear system.

U - Type of the vectors in the linear system.

All Known Implementing Classes:

BackSolver, ComplexBackSolver, ComplexExactSolver, ComplexForwardSolver, ComplexLstsqSolver, ExactSolver, ForwardSolver, LstsqSolver, RealBackSolver, RealExactSolver, RealForwardSolver, RealLstsqSolver

public interface LinearSolver<T extends MatrixMixin<T,?,?,?,?,?,U,?>,U extends VectorMixin<U,?,?,?,?,T,?,?>>

This interface specifies methods which all linear system solvers should implement. Solvers may solve in an exact sense or in a least squares sense.

Method Summary

Modifier and Type	Method	Description
T	solve(T A, T B)	Solves the set of linear system of equations given by A*X=B for the matrix X where A, B, and X are matrices.
U	solve(T A, U b)	Solves the linear system of equations given by A*x=b for the vector x.

Method Details

solve

U solve(T A,
 U b)

Solves the linear system of equations given by A*x=b for the vector x.

Parameters:

A - Coefficient matrix in the linear system.

b - Vector of constants in the linear system.

Returns:

The solution to x in the linear system A*x=b.

solve

T solve(T A,
 T B)

Solves the set of linear system of equations given by A*X=B for the matrix X where A, B, and X are matrices.

Parameters:

A - Coefficient matrix in the linear system.

B - Matrix of constants in the linear system.

Returns:

The solution to X in the linear system A*X=B.